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I would be interested in a good mathematician-friendly introduction to (exactly solvable) integrable models in physics, either a book or expository article.

Related MathOverflow question: what-is-an-integrable-system.

This post imported from StackExchange Physics at 2014-04-25 13:36 (UCT), posted by SE-user Phira

I take "integrable models" to mean "exactly solvable models in statistical physics".

You can take a look at the classic book

Otherwise this new book is quit readable and covers more than just solvable models

Others can probably give you more mathematician-friendly references, but I think it would be good if you could be more specific about what you are looking for.

This is a late response. Here are some more

The Many-Body Problem: An Encyclopedia of Exactly Solved Models in One Dimension

Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems

Exactly Solved Models: A Journey in Statistical Mechanics : Selected Papers with Commentaries

Introduction to Classical Integrable Systems

Classical Many-Body Problems Amenable to Exact Treatments

Exact Methods in Low-dimensional Statistical Physics and Quantum Computing

Another good recent book:

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